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Finding the Fourth Proportional to 231,717.71, 319,605.54 and 212,659.04

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Solution

The fourth proportional to 231,717.71, 319,605.54 and 212,659.04 is: 293,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,717.71 : 319,605.54 = 212,659.04 : x
  2. Step 2: Convert to fraction form
    231,717.71/319,605.54 = 212,659.04/x
  3. Step 3: Cross multiply
    231,717.71x = 319,605.54 × 212,659.04
  4. Step 4: Simplify right side
    231,717.71x = 67,967,007,315.08
  5. Step 5: Solve for x
    x = 67,967,007,315.08/231,717.71
  6. Step 6: Final answer
    x = 293,318.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.